The profile of emission spectra of Balmer-α radiation by electron impact on H 2 has been investigated by using an etalongrating monochromator with high resolution (<0.1 A). Spectra obtained in this experiment show an anomalous Doppler profile, which indicates that 11 *(3) resulting from the process, H 2+ e→H *(3)+H( a)+e, has two kinds of average kinetic energies; -0.3 eV and -7 eV. The angular and/or kinetic-energy distribution of H *(3), on which a spectral profile of Balmer-α radiation depends, is discussed in connection with the potential energy curve of the highly-excited states of the H 2 molecule.